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Volumn 101, Issue 1, 1997, Pages 164-176

The most-obtuse-angle row pivot rule for achieving dual feasibility: A computational study

Author keywords

Dual feasibility; Linear programming; Obtuse angle; Pivot rule

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SOFTWARE; FORTRAN (PROGRAMMING LANGUAGE); FUNCTION EVALUATION;

EID: 0031197587     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(96)00027-6     Document Type: Article
Times cited : (23)

References (19)
  • 2
    • 0042402946 scopus 로고
    • The dual simplex algorithm
    • The RAND Corporation, Santa Monica, CA
    • Dantzig, G.B. (1954), "The Dual simplex algorithm", RAND Report RM-1270, The RAND Corporation, Santa Monica, CA.
    • (1954) RAND Report RM-1270
    • Dantzig, G.B.1
  • 4
    • 84972521846 scopus 로고
    • The generalized simplex method for minimizing a linear form under linear inequality restraints
    • Dantzig, G.B., Orden, A., and Wolfe, P. (1955), "The generalized simplex method for minimizing a linear form under linear inequality restraints", Pacific Journal of Mathematics 5, 183-195.
    • (1955) Pacific Journal of Mathematics , vol.5 , pp. 183-195
    • Dantzig, G.B.1    Orden, A.2    Wolfe, P.3
  • 5
    • 0027114508 scopus 로고
    • Steepest-edge simplex algorithms for linear programming
    • Forrest, J.J.H., and Goldfarb, D. (1992), "Steepest-edge simplex algorithms for linear programming", Mathematical Programming 57, 341-374.
    • (1992) Mathematical Programming , vol.57 , pp. 341-374
    • Forrest, J.J.H.1    Goldfarb, D.2
  • 6
    • 0002367554 scopus 로고
    • Vector processing in simplex and interior methods for linear programming
    • Forrest, J.J.H., and Tomlin, J.A. (1990), "Vector processing in simplex and interior methods for linear programming", Annals of Operations Research 22, 71-100.
    • (1990) Annals of Operations Research , vol.22 , pp. 71-100
    • Forrest, J.J.H.1    Tomlin, J.A.2
  • 7
    • 0002850880 scopus 로고
    • Electronic mail distribution of linear programming test problems
    • Gay, D.M. (1985), "Electronic mail distribution of linear programming test problems", Mathematical Programming Society COAL Newsletter 13, 10-12.
    • (1985) Mathematical Programming Society COAL Newsletter , vol.13 , pp. 10-12
    • Gay, D.M.1
  • 8
    • 0008894583 scopus 로고
    • Using the steepest-edge simplex algorithm to solve sparse linear programs
    • J. Bunch and D. Rose, eds., Academic Press, New York
    • Goldfarb, D. (1976), "Using the steepest-edge simplex algorithm to solve sparse linear programs", in: J. Bunch and D. Rose, eds., Sparse Matrix Computations, Academic Press, New York, 227-240.
    • (1976) Sparse Matrix Computations , pp. 227-240
    • Goldfarb, D.1
  • 9
    • 0000726097 scopus 로고
    • A practicable steepest-edge simplex algorithm
    • Goldfarb, D., and Reid, J.K. (1977), "A practicable steepest-edge simplex algorithm", Mathematical Programming 12, 361-371.
    • (1977) Mathematical Programming , vol.12 , pp. 361-371
    • Goldfarb, D.1    Reid, J.K.2
  • 11
    • 0002825455 scopus 로고
    • Pivot selection methods of the Devex LP code
    • Harris, P.M.J. (1973), "Pivot selection methods of the Devex LP code", Mathematical Programming 5, 1-28.
    • (1973) Mathematical Programming , vol.5 , pp. 1-28
    • Harris, P.M.J.1
  • 13
    • 0002044696 scopus 로고
    • The dual method of solving the linear programming problem
    • Lemke, C.E. (1954), "The dual method of solving the linear programming problem", Naval Research Logistics Quarterly 1, 36-47.
    • (1954) Naval Research Logistics Quarterly , vol.1 , pp. 36-47
    • Lemke, C.E.1
  • 14
    • 0041815764 scopus 로고
    • Practical finite pivoting rules for the simplex method
    • Pan, P.-Q. (1990), "Practical finite pivoting rules for the simplex method", OR Spektrum 12, 219-225.
    • (1990) OR Spektrum , vol.12 , pp. 219-225
    • Pan, P.-Q.1
  • 15
    • 0040374454 scopus 로고
    • Ratio-test-free pivoting rules for a dual Phase-1 method
    • S.-T Xiao, and F. Wu, eds., Tsinghua University Press, Beijing
    • Pan, P.-Q. (1994a), "Ratio-test-free pivoting rules for a dual Phase-1 method", in: S.-T Xiao, and F. Wu, eds., Proceedings of the Third Conference of Chinese SIAM, Tsinghua University Press, Beijing, 245-249.
    • (1994) Proceedings of the Third Conference of Chinese SIAM , pp. 245-249
    • Pan, P.-Q.1
  • 16
    • 0040968731 scopus 로고
    • Achieving primal feasibility under the dual pivoting rule
    • Pan, P.-Q. (1994b), "Achieving primal feasibility under the dual pivoting rule", Journal of Information & Optimization Sciences 15/3, 405-413.
    • (1994) Journal of Information & Optimization Sciences , vol.15 , Issue.3 , pp. 405-413
    • Pan, P.-Q.1
  • 17
    • 0039782227 scopus 로고
    • Composite phase-1 methods without measuring infeasibility
    • M.-Y. Yue, ed., Xidian University Press, Xian
    • Pan, P.-Q. (1994c), "Composite phase-1 methods without measuring infeasibility", in: M.-Y. Yue, ed., Theory of Optimization and its Applications, Xidian University Press, Xian, 359-364.
    • (1994) Theory of Optimization and Its Applications , pp. 359-364
    • Pan, P.-Q.1
  • 18
  • 19
    • 0003035430 scopus 로고    scopus 로고
    • A modified bisection simplex method for linear programming
    • Pan, P.-Q. (1996), "A modified bisection simplex method for linear programming" Journal of Computational Mathematics 14/3, 249-255.
    • (1996) Journal of Computational Mathematics , vol.14 , Issue.3 , pp. 249-255
    • Pan, P.-Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.